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s2008m [1.1K]
3 years ago
9

Evaluate the expression. Question 9 options: A) tan π∕56 B) tan 17π∕56 C) –tan 17π∕56 D) –tan π∕56

Mathematics
1 answer:
nikitadnepr [17]3 years ago
3 0

Answer:

A

Step-by-step explanation:

Note the expansion

tan(a - b) = \frac{tana-tanb}{1+tanatanb}

We are given the right side of the expansion , then left side is

tan(\frac{\pi }{7} - \frac{\pi }{8} )

= tan(\frac{8\pi -7\pi }{56} )

= tan (\frac{\pi }{56} ) → A

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John invests $200 at 4.5% compounded annually. About how long will it take for John’s investment to double in value?
Gekata [30.6K]

Answer:

The number of years needed is 15.75 years.

Step-by-step explanation:

The investment amount (present value) = $200

Interest rate =4.5%

Double of investment = $400

Now we have to find the time or number of years in which the investment amount will be doubled. So, just use the below formula to find the number of years.

Future value = present value ×(1+interest rate)^n

400 = 200×(1+4.5%)^n

N = 15.75 years

The number of years required to double the amount is 15.75 years.

8 0
3 years ago
Each ice cream cone at Izzy's Ice Cream Parlor contains $\frac{1}{32}$ of a gallon of ice cream. If Izzy has $\frac{3}{4}$ of a
harkovskaia [24]

Answer: 24 cones.

Step-by-step explanation:

We know that each cone contains 1/32 of a gallon of ice cream.

And Izzy has a total of 3/4 gallons.

How many cones we can make with this? This will be equal to the quotient between 3/4 gallons and 1/32 gallons, which will be equal to the number of times that we can fit 1/32 in 3/4

this is:

N = (3/4 gal)/(1/32 gal) = 24

This means that we can make 24 ice cream cones with 3/4 gal of ice cream.

5 0
3 years ago
Simplify the expression: (3 − 4i) + (7 − 6i). 4 − 2i 4 − 10i 13 − 2i 10 − 10i
yulyashka [42]

Equivalent expressions are expressions of equal values

The simplified expression of (3 - 4i) + (7 - 6i) is 10- 10i

The expression is given as:

(3 - 4i) + (7 - 6i)

Remove brackets in the above expression

3 - 4i + 7 - 6i

Rewrite the expression by collecting the like terms

3 + 7- 4i  - 6i

Next, evaluate the like terms

10- 10i

Hence, the simplified expression of (3 - 4i) + (7 - 6i) is 10- 10i

Read more about equivalent expressions at:

brainly.com/question/2972832

7 0
3 years ago
What two numbers are located 1/2 of a unit form 1/6 on the number line
weeeeeb [17]
Basically we need to add and subtract 1/2 from 1/6:

(1) 1/6 - 1/2 = 1/6 - 3/6
= -2/6
= -1/3

(2) 1/6 + 1/2 = 1/6 + 3/6
= 4/6
= 2/3

Therefor the two numbers that are located 1/2 unit from 1/6 are -1/3 and 2/3
5 0
3 years ago
R= 4/3(p-q) <br><br>solve for p ​
Naya [18.7K]

Answer = p=12-4 -12=17=18+19

p-q

p=12

3 0
3 years ago
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